Cambridge IGCSE Mathematics practice

exam practice - Identify line symmetry and the order of rotational symmetry for various shapes, including triangles and quadrilaterals, as well as understanding the symmetry properties of three-dimensional shapes like prisms, cylinders, pyramids, and cones, including their planes and axes of symmetry. - Symmetry

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At a glance

Paper

Marks

Topic

Symmetry

Exam-style question

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Paper 2Core or Extended Mathematics4 marks

Symmetry properties of a regular pentagonal prism

Diagram Description

A prism with regular pentagon bases and rectangular sides.

Shape	Symmetry Property
Regular pentagonal prism	Lines of symmetry and planes of symmetry

a
State the number of lines of symmetry of the pentagonal base.
Your answer
Aim for approximately 1 distinct marking point.
[1]
b
Describe the planes of symmetry of the pentagonal prism.
Your answer
Aim for approximately 3 distinct marking points.
[3]

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Topic focus: Symmetry.
Question style: structured_mathematics.
Reasoning demand: reasoning.
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Paper 2Core or Extended Mathematics3 marks

Description

A cone with a circular base and apex aligned above the center of the base.

a
State the number of planes of symmetry of the cone.
Your answer
Aim for approximately 1 distinct marking point.
[1]
b
Determine the order of rotational symmetry of the cone about its axis.
Your answer
Aim for approximately 2 distinct marking points.
[2]